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It's not that you shouldn't eat them, it's you need to limit them. Any fruit will impact your suger levels, some will impact them more then others.
Bananas have a high sugar content when they are very ripe. Eat only 1/2 a banana at a sitting.
Grapes, cherries, tangerines, mango and pomengranites also have a very high sugar content.

Plums, pears, pineapple, kiwifruit and oranges are also pretty high, but not as high as those listed above.

"Fruit Cocktail – Fruit is an integral part of a healthy diet. However, you should be buying fresh fruit and not fruit that is soaking in thick, sugary syrups. Not only is the added sugar unhealthy, fruit can lose a lot of nutrients when it is processed and canned."